Step-by-step explanation:
If two objects vary directly, we just divide those two objects.
If two objects vary indirectly, we multiply them.
So here we have
[tex] \frac{v}{ {x}^{2} } {y}^{3} = k[/tex]
where k is a constant.
So let analyze when all variables Except k is given.
[tex] \frac{2}{16} (27) = 3.375[/tex]
So k=3.375
[tex] \frac{v}{ {3}^{2} } (2 {}^{3} ) = 3.375[/tex]
[tex] \frac{v}{9} (8) = 3.375[/tex]
[tex] \frac{v}{9} (8) = \frac{27}{8} [/tex]
[tex]v8 = \frac{243}{8} [/tex]
[tex]v = \frac{243}{64} [/tex]
[tex]3.796875[/tex]
The height of a parallelogram is 5 feet The base is 7 feet the length is 9 1/2 feet what is the area of the parallelogram
Answer:
[10 ft.]
Step-by-step explanation:
It's being given that there is a paralleolgram.
Let the length of its base is x ft.
Therefore, length of height = (x+6) ft.
Also, area of paralleolgram = 160 sq.
ft.
Now, we know that,
Area of paralleolgram = base x height
Therefore, we will get,
=> x(x+6) = 160
=> x² + 6x - 160 = 0
=> x² + 16x - 10x - 160 = 0
=> x(x+16) - 10(x+16)=0
=> (x+16) (x - 10) = 0
=> x +16=0 or X- - 10-0
=> x=-16
or
X = 10
But, we know that, length can't ever be negative.
Therefore, x = 10
Hence, length of base = 10 ft.
2.4 Assignment 4
Alex has a job transporting furniture by truck. His truck is filled with tables that weigh 250 pounds each
and chairs that weigh 20 pounds each. There is a combined total of 300 tables and chairs in his truck.
Let x be the number of tables in his truck. Write an expression for the combined total weight (in
pounds) of the tables and chairs in his truck.
Choose one. 4 points
Total weight in pounds = 230.3 + 50
O
Total weight in pounds = -230.2 + 550
O
Total weight in pounds = -2302 + 75,000
O
Total weight in pounds = 2302 + 6000
Total weight in pounds = 230x + 75,000
Total weight in pounds = -230x + 50
O O
Total weight in pounds = -230x + 6000
Using a system of equations, it is found that the expression for the combined total weight is given by:
Weight = 250x + 20(300 - x).
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Number of tables in the truck.Variable y: Number of chairs in the truck.There is a combined total of 300 tables and chairs in his truck, hence:
x + y = 300 -> y = 300 - x
His truck is filled with tables that weigh 250 pounds each and chairs that weigh 20 pounds each, hence the total weight is:
Weight = 250x + 20(300 - x).
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Mayela bought 3.4 pounds of almonds for 21.58. Approximately how many pounds of walnuts can mayela purchase for 1 dollar
Answer:
0.157
Step-by-step explanation:
She can buy 3.4 pounds for $21.58, so we will divide 3.4/21.58 to get 0.157 pounds per dollar.
Write an expression to b+b+b+b+b that is that a sum of two terms
Answer: 5b is your answer
Step-by-step explanation:
Solve the inequality 4(k − 5) + 12k ≥ −4
Answer:
k ≥ 1
Step-by-step explanation:
Step 1: Write inequality
4(k - 5) + 12k ≥ -4
Step 2: Solve for k
Distribute 4: 4k - 20 + 12k ≥ -4Combine like terms: 16k - 20 ≥ -4Add 20 to both sides: 16k ≥ 16Divide 16 on both sides: k ≥ 1Which loan or loans listed below are awarded based on the financial need of the student?
I. Perkins loan
II. subsidized Stafford loan
III. unsubsidized Stafford loan
a.
I only
b.
I and II
c.
II and III
d.
I, II, and III
Answer:
B.
I and II
Step-by-step explanation:
The loan or loans listed below are awarded based on the financial need of the student are the Perkins loan and subsidized Stafford loan. Option B. This is further explained below.
What is loan?Generally, a loan is simply defined as a borrowed object, especially a quantity of money that is anticipated to be repaid with interest.
In conclusion, The Perkins loan and subsidized Stafford loan are two loans that are provided depending on the student's financial need.
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help me please I'm in a rush
Answer:
56
Step-by-step explanation:
616 divided by 11 equals the height
Compute using long division: 342 ÷ 23
The quotient after division is 322 and the remainder is 20.
What is long division?Long division is the mathematical method for dividing large numbers into smaller groups or parts.
Given that, 342 ÷ 23,
When we will divide 342 by 23, we will get,
The quotient 322 and the remainder is 20.
Hence, the quotient after division is 322 and the remainder is 20.
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The Hornes buy a trampoline with a regular price of $495.00. It is on sale for 20% off the regular price. After calculating the sale price, they use a coupon for $35.00 off. The salesperson then adds a sales tax of 7%. What is the final price of the trampoline?
Answer:
$368.27
Step-by-step explanation:
495.00*0.20=$99
495-99=396
396-35=361
361*1.07=386.27
What’s the Awnser cause I really don’t know
Answer:
Quest 1. is 5.5
Quest 2. is 48
Quest 3. is 7.5
Quest 4. is 6
Quest 5. is 8
Quest 6. is 9
What is the cf of 32 and 24?
Answer:
8
24 divided by 8 =3
32 divided by 8 =4
Maura added 5/8 of a cup of walnuts to a batch of trail mix. Later, she added 3/4 of a cup of almonds. How many cups of nuts did Maura put in the trail mix in all? Write your answer as a fraction or as a whole or mixed number. cups
Answer:
1 3/8 cups
Step-by-step explanation:
the equation is 5/8 + 3/4
to figure it out we need the same denominator, we'll be choosing 8
3 (x2)/ 4 (x2) = 6/8
you would have to multiply 2 both on the top and bottem
then you would have to add
5/8 + 6/8 = 11/8
then make that into a whole fraction
11/8 = 1 3/8
Solve for x.
4x - 36
3x + 10
Answer:
x = 46
Step-by-step explanation:
Since the angles are equal to each other, make the equations equal to each other.
4x - 36 = 3x + 10 and simplify
x - 36 = 10
x = 46
Hope this helps!
The value of x is 46.
Since the angles are equal to each other, make the equations equal to each other.
4x - 36 = 3x + 10
First, let's move the term with 3x to the left side by subtracting 3x from both sides:
4x - 3x - 36 = 3x - 3x + 10
Simplifying further:
x - 36 = 10
Next, let's move the constant term -36 to the right side by adding 36 to both sides:
x - 36 + 36 = 10 + 36
Simplifying further:
x = 46
Therefore, the value of x is 46.
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Caroline surveyed 380 of the students in her school about their favorite color. 209 students said their favorite color was blue. What percentage of the surveyed students said their favorite color was blue?
Answer:
55% of the students surveyed said their favorite color was blue
Step-by-step explanation:
[tex]\frac{209}{380}[/tex] as a percent = 55%, or 0.55 in decimal form.
2 1/2 =1 2/3 ÷y
i need help please
Answer:
Step-by-step explanation:
2*1 /2 = 1*2 / 3 / y
2/2=2/3 / y
1=2/3 x 1/y
1=2/3y
3y=2
y=2/3
help model -5+(-6) on the number line
Answer:
-5 -6 = -11
You start at -5 and move to the left by 6 spaces until you get to -11 :)
Hope this helps!
Have a good day!
Please rate and mark brainliest!!
C, G, and D are collinear. E, G, and F are also collinear. The two lines
intersect at point G. Line EF bisects line CD. Find EG: if CG=5x-1, GD=7x-
13, EF=6x-4, and GF=13.
Answer:
EG is 19 units
Step-by-step explanation:
Let us solve the question
∵ Lines CD and EF intersected at point G
∴ CD = CG + GD
∴ EF = EG + GF
∵ Line EF bisects line CD
→ That means G is the midpoint of CD
∴ CG = GD
∵ CG = 5x -1
∵ GD = 7x - 13
→ Equate them to find x
∴ 7x - 13 = 5x -1
→ Add 13 to both sides
∴ 7x -13 + 13 = 5x - 1 + 13
∴ 7x = 5x + 12
→ Subtract 5x from both sides
∴ 7x - 5x = 5x - 5x + 12
∴ 2x = 12
→ Divide both sides by 2
∴ [tex]\frac{2x}{2}=\frac{12}{2}[/tex]
∴ x = 6
∵ EF = 6x - 4
→ Substitute x by 6 to find its length
∴ EF = 6(6) - 4 = 36 - 4
∴ EF = 32
∵ EF = EG + GF
∵ GF = 13
∴ 32 = EG + 13
→ Subtract 13 from both sides
∵ 32 - 13 = EG + 13 - 13
∴ 19 = EG
∴ EG = 19 units
How many pounds are there in 2 3/4 tons? (1 ton = 2000 pounds)
Hello!
Answer:
There are 5500 pounds in 2 3/4 tons
Hope you luck!
PLEASE ANSWER ASAP!!!!
Rewrite each of the following expressions without using absolute value
-|-3|
Answer:
-3
Step-by-step explanation:
[tex]\downdownarrows\\ -\left|-3\right|[/tex]
Calculate the absolute value
[tex]-3[/tex]
I hope this helps you
:)
If the same number is subtracted from both the numerator and the denominator of 13/17 , the result is 3/5 . Find the number.
Answer:
10/12?
Step-by-step explanation:
what is the absolute value of 1
Answer:
1
Step-by-step explanation:
Since absolute value is the distance between zero, and the particular value, it is always positive! In this case, the distance between one and zero is exactly one!
Which rule describes the function in the graph below?
10
9
8
7
(4.6)
10,6
5
4
3
(-2,2
2
1
3
4 5
B 7
8 9
-7 -6 -5 -4 -3 -2 -14
Ni-
X, XS-2
Save and Exit
Next
Submit
Mark this and retum
Answer:THE ANSWER IS B ON 55th STREET NIFTY
Step-by-step explanation:
seven subtracted from twice a number given 17, find this number.
Answer:
The number should be 12.
Step-by-step explanation:
We can form a simple equation and solve for the variable:
2x - 7 = 17
2x = 24
x = 12
whats a better way to solve a polygon and what are the steps to it.
Hey there!
Calculating the exterior angles of regular polygons
To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.
A machine that drills holes for wells drilled to a depth of
–72 feet in one day (24 hours).
If the machine drilled at a constant rate, what was the
depth after 15 hours?
Answer:
depth of -117 feet
Step-by-step explanation:
24 hours 72 feet, so one hour 72/24 = 3 feet
after 15 hours, another 3*15 = 45 feet, so the depth become 72 + 45 = 117 feet
What is the value of x? enter you answer in the box bellow.
Simplify the expression.
(3x\y)^-3
Assuming that the heights of college women are normally distributed with mean 63 inches and standard deviation 3 inches, what percentage of women are taller than 60 inches?
Answer:
cs.a,C|"< dl\vds
Step-by-step explanation:
Please help. Systems of equations. Solve using elimination.
12X + 16y = 96
12X + 48y = 192
Answer:
x=4
y=3
Step-by-step explanation:
12X + 16y = 96--(1)
12X + 48y = 192---(2)
(2)-(1),
12x + 48y - (12x+ 16y)= 192- 96
12x + 48y - 12x - 16y = 96
32y = 96
y= 96÷32
y =3
substituting y=3 in (1),
12x +(16×3) = 96
12x + 48 = 96
12x = 96-48
12x = 48
x= 48÷12
x= 4
Hope this helps!
Wal-Mart buys paper plates for $3.25 and marks them up for 142%. How much do I buy them for?
Multiply the price by the percentage:
3.25 x 142% = 3.25 x 1.42 = 4.62
You pay $4.62